To calculate the change in volume of a substance due to a change in temperature, we can use the coefficient of volume expansion (β) for the given substance. The coefficient of volume expansion represents how much the volume of a substance changes per degree Celsius of temperature change.
Unfortunately, the coefficient of volume expansion for white wine is not readily available, as it can vary depending on factors such as the specific composition of the wine and its alcohol content. However, as an approximation, we can use the coefficient of volume expansion for water, as white wine has a similar density to water.
The coefficient of volume expansion for water is approximately 0.00021 per degree Celsius. This means that for every degree Celsius increase in temperature, the volume of water (and approximately white wine) increases by 0.00021 times its initial volume.
Given: Initial volume (V1) = 48 hectoliters = 4800 liters Initial temperature (T1) = 6.5 Celsius Final temperature (T2) = 17.0 Celsius
Change in temperature (ΔT) = T2 - T1 = 17.0 - 6.5 = 10.5 Celsius
Change in volume (ΔV) = β * V1 * ΔT = 0.00021 * 4800 * 10.5 = 10.584 liters (rounded to three decimal places)
Therefore, the change in volume of 48 hectoliters of white wine when the temperature increases from 6.5 Celsius to 17.0 Celsius is approximately 10.584 liters.